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arXiv · 2403.00399

As Soon as Possible but Rationally

Véronique Bruyère·Christophe Grandmont·Jean-François Raskin
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Abstract

This paper addresses complexity problems in rational verification and synthesis for multi-player games played on weighted graphs, where the objective of each player is to minimize the cost of reaching a specific set of target vertices. In these games, one player, referred to as the system, declares his strategy upfront. The other players, composing the environment, then rationally make their moves according to their objectives. The rational behavior of these responding players is captured through two models: they opt for strategies that either represent a Nash equilibrium or lead to a play with a Pareto-optimal cost tuple.

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Véronique Bruyère, Christophe Grandmont, Jean-François Raskin. 2024-03-01. As Soon as Possible but Rationally. https://doi.org/10.4230/lipics.concur.2024.14

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